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Finding the Fourth Proportional to 438,428.60, 657,708.60 and 185,708.60

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Solution

The fourth proportional to 438,428.60, 657,708.60 and 185,708.60 is: 278,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.60 : 657,708.60 = 185,708.60 : x
  2. Step 2: Convert to fraction form
    438,428.60/657,708.60 = 185,708.60/x
  3. Step 3: Cross multiply
    438,428.60x = 657,708.60 × 185,708.60
  4. Step 4: Simplify right side
    438,428.60x = 122,142,143,313.96
  5. Step 5: Solve for x
    x = 122,142,143,313.96/438,428.60
  6. Step 6: Final answer
    x = 278,590.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.